10980432576 has 560 divisors, whose sum is σ = 36998818560. Its totient is φ = 3202467840.

The previous prime is 10980432559. The next prime is 10980432587. The reversal of 10980432576 is 67523408901.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83820031 + ... + 83820161.

It is a 1-persistent number, because it is pandigital, but 2⋅10980432576 = 21960865152 is not.

Almost surely, 2^10980432576 is an apocalyptic number.

10980432576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10980432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499409280).

10980432576 is an abundant number, since it is smaller than the sum of its proper divisors (26018385984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10980432576 is a wasteful number, since it uses less digits than its factorization.

10980432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 10980 and 432576, that added together give a square (443556 = 666²).

The spelling of 10980432576 in words is "ten billion, nine hundred eighty million, four hundred thirty-two thousand, five hundred seventy-six".